GCD of 140, 399, 534, 514 Calculator

Given Input numbers are 140, 399, 534, 514

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 140, 399, 534, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 399, 534, 514 is 1.

Therefore, GCD of numbers 140, 399, 534, 514 is 1

Given Input Data is 140, 399, 534, 514

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 514 is 2 x 257

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(140, 399) = 7980

GCD(140, 399) = ( 140 x 399 ) / 7980

GCD(140, 399) = 55860 / 7980

GCD(140, 399) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 534

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 534) = 3738

GCD(7, 534) = ( 7 x 534 ) / 3738

GCD(7, 534) = 3738 / 3738

GCD(7, 534) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 140, 399, 534, 514 is 1

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1. What is the GCD of 140, 399, 534, 514?

GCD of 140, 399, 534, 514 is 1

2. Where do I get the detailed procedure to find GCD of 140, 399, 534, 514?

You can find a detailed procedure to find GCD of 140, 399, 534, 514 on our page.

3. How to find GCD of 140, 399, 534, 514 on a calculator?

You can find the GCD of 140, 399, 534, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.